A Survey of 1000 farmers found that 600 grew paddy,350 grew ragi ,280 grew corn , 120 grew paddy and ragi ,100 grew ragi and corn,80 grew paddy and corn. If each farmer grew atleast any one of the above three, then find the number of farmers who grew all the three

Dear Student,
n(P) = number of paddy farmers = 600
n(R) = number of Ragi farmers = 350
n(C) = number of Corn farmers = 280
n(PR) = 120n(CR) = 100n(PC) = 80n(PRC) = 1000We know that,n(PRC) = n(P) + n(R) +n(C) - n(PR) - n(CR) - n(PC)  + n(PRC) 1000 = 600+ 350 + 280  - 120  -100 - 80 +n(PRC) n(PRC)  = 1000 - 930 = 70

​​​​​​the number of farmers who grew all the three is 70

Regards,

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